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Proving Statements on Triangle Congruence

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  • What property is shown by the statement if ∠CAR≅∠BUS then ∠BUS≅∠CAR. (a) reflexive property (b)symmetric property (c) Transitive property
    B / Symmetric Poperty
  • Using the given figure, if A is the midpoint of segment ER, what statement must come next?
    EA ≅ RA
  • It is the first information that we used to start our two column proof
    Given
  • If segment AE bisects ∠CAR, what information can you conclude?
    ∠CAE ≅ ∠RAE
  • What does CPCTC stand for?
    Corresponding Parts of Congruent Triangles are Congruent
  • In a two column proof the last statement is always ________. (a) Statement you are trying to prove. (b) Whatever the given.
    A / Statement you are trying to prove
  • Segment HT and segment ER intersect at A, what information is true about ∠HAE and ∠TAR
    vertical angles/congruent
  • The following can be used as reason to support your statement except: (a) definition (b) theorem (c) problem (d)properties of equality
    C/Problem
  • The two triangles are congruent based on what congruence postulate?
    SSS Congruence Postulate
  • What congruence postulate is illustrated in the figure below?
    ASA Congruence Postulate